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-(************************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
-(* \VV/ **************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(************************************************************************)
-
-(* Certification of Imperative Programs / Jean-Christophe Filliātre *)
-
-(* $Id: pmisc.ml 8752 2006-04-27 19:37:33Z herbelin $ *)
-
-open Pp
-open Util
-open Names
-open Nameops
-open Term
-open Libnames
-open Topconstr
-
-(* debug *)
-
-let deb_mess s =
- if !Options.debug then begin
- msgnl s; pp_flush()
- end
-
-let deb_print f x =
- if !Options.debug then begin
- msgnl (f x); pp_flush()
- end
-
-let list_of_some = function
- None -> []
- | Some x -> [x]
-
-let difference l1 l2 =
- let rec diff = function
- [] -> []
- | a::rem -> if List.mem a l2 then diff rem else a::(diff rem)
- in
- diff l1
-
-(* TODO: these functions should be moved in the code of Coq *)
-
-let reraise_with_loc loc f x =
- try f x with Util.UserError (_,_) as e -> Stdpp.raise_with_loc loc e
-
-
-(* functions on names *)
-
-let at = if !Options.v7 then "@" else "'at'"
-
-let at_id id d = id_of_string ((string_of_id id) ^ at ^ d)
-
-let is_at id =
- try
- let _ = string_index_from (string_of_id id) 0 at in true
- with Not_found ->
- false
-
-let un_at id =
- let s = string_of_id id in
- try
- let n = string_index_from s 0 at in
- id_of_string (String.sub s 0 n),
- String.sub s (n + String.length at)
- (String.length s - n - String.length at)
- with Not_found ->
- invalid_arg "un_at"
-
-let renaming_of_ids avoid ids =
- let rec rename avoid = function
- [] -> [], avoid
- | x::rem ->
- let al,avoid = rename avoid rem in
- let x' = next_ident_away x avoid in
- (x,x')::al, x'::avoid
- in
- rename avoid ids
-
-let result_id = id_of_string "result"
-
-let adr_id id = id_of_string ("adr_" ^ (string_of_id id))
-
-(* hypotheses names *)
-
-let next s r = function
- Anonymous -> incr r; id_of_string (s ^ string_of_int !r)
- | Name id -> id
-
-let reset_names,pre_name,post_name,inv_name,
- test_name,bool_name,var_name,phi_name,for_name,label_name =
- let pre = ref 0 in
- let post = ref 0 in
- let inv = ref 0 in
- let test = ref 0 in
- let bool = ref 0 in
- let var = ref 0 in
- let phi = ref 0 in
- let forr = ref 0 in
- let label = ref 0 in
- (fun () ->
- pre := 0; post := 0; inv := 0; test := 0;
- bool := 0; var := 0; phi := 0; label := 0),
- (next "Pre" pre),
- (next "Post" post),
- (next "Inv" inv),
- (next "Test" test),
- (fun () -> next "Bool" bool Anonymous),
- (next "Variant" var),
- (fun () -> next "rphi" phi Anonymous),
- (fun () -> next "for" forr Anonymous),
- (fun () -> string_of_id (next "Label" label Anonymous))
-
-let default = id_of_string "x_"
-let id_of_name = function Name id -> id | Anonymous -> default
-
-
-(* functions on CIC terms *)
-
-let isevar = Evarutil.new_evar_in_sign (Global.env ())
-
-(* Substitutions of variables by others. *)
-let subst_in_constr alist =
- let alist' = List.map (fun (id,id') -> (id, mkVar id')) alist in
- replace_vars alist'
-
-(*
-let subst_in_ast alist ast =
- let rec subst = function
- Nvar(l,s) -> Nvar(l,try List.assoc s alist with Not_found -> s)
- | Node(l,s,args) -> Node(l,s,List.map subst args)
- | Slam(l,so,a) -> Slam(l,so,subst a) (* TODO:enlever so de alist ? *)
- | x -> x
- in
- subst ast
-*)
-(*
-let subst_ast_in_ast alist ast =
- let rec subst = function
- Nvar(l,s) as x -> (try List.assoc s alist with Not_found -> x)
- | Node(l,s,args) -> Node(l,s,List.map subst args)
- | Slam(l,so,a) -> Slam(l,so,subst a) (* TODO:enlever so de alist ? *)
- | x -> x
- in
- subst ast
-*)
-
-let rec subst_in_ast alist = function
- | CRef (Ident (loc,id)) ->
- CRef (Ident (loc,(try List.assoc id alist with Not_found -> id)))
- | x -> map_constr_expr_with_binders subst_in_ast List.remove_assoc alist x
-
-let rec subst_ast_in_ast alist = function
- | CRef (Ident (_,id)) as x -> (try List.assoc id alist with Not_found -> x)
- | x ->
- map_constr_expr_with_binders subst_ast_in_ast List.remove_assoc alist x
-
-(* subst. of variables by constr *)
-let real_subst_in_constr = replace_vars
-
-(* Coq constants *)
-
-let coq_constant d s =
- Libnames.encode_kn
- (make_dirpath (List.rev (List.map id_of_string ("Coq"::d))))
- (id_of_string s)
-
-let bool_sp = coq_constant ["Init"; "Datatypes"] "bool"
-let coq_true = mkConstruct ((bool_sp,0),1)
-let coq_false = mkConstruct ((bool_sp,0),2)
-
-let constant s =
- let id = Constrextern.id_of_v7_string s in
- Constrintern.global_reference id
-
-let connective_and = id_of_string "prog_bool_and"
-let connective_or = id_of_string "prog_bool_or"
-let connective_not = id_of_string "prog_bool_not"
-
-let is_connective id =
- id = connective_and or id = connective_or or id = connective_not
-
-(* [conj i s] constructs the conjunction of two constr *)
-
-let conj i s = Term.applist (constant "and", [i; s])
-
-(* [n_mkNamedProd v [xn,tn;...;x1,t1]] constructs the type
- [(x1:t1)...(xn:tn)v] *)
-
-let rec n_mkNamedProd v = function
- | [] -> v
- | (id,ty) :: rem -> n_mkNamedProd (Term.mkNamedProd id ty v) rem
-
-(* [n_lambda v [xn,tn;...;x1,t1]] constructs the type [x1:t1]...[xn:tn]v *)
-
-let rec n_lambda v = function
- | [] -> v
- | (id,ty) :: rem -> n_lambda (Term.mkNamedLambda id ty v) rem
-
-(* [abstract env idl c] constructs [x1]...[xn]c where idl = [x1;...;xn] *)
-
-let abstract ids c = n_lambda c (List.rev ids)
-
-(* substitutivity (of kernel names, for modules management) *)
-
-open Ptype
-
-let rec type_v_knsubst s = function
- | Ref v -> Ref (type_v_knsubst s v)
- | Array (c, v) -> Array (subst_mps s c, type_v_knsubst s v)
- | Arrow (bl, c) -> Arrow (List.map (binder_knsubst s) bl, type_c_knsubst s c)
- | TypePure c -> TypePure (subst_mps s c)
-
-and type_c_knsubst s ((id,v),e,pl,q) =
- ((id, type_v_knsubst s v), e,
- List.map (fun p -> { p with p_value = subst_mps s p.p_value }) pl,
- option_map (fun q -> { q with a_value = subst_mps s q.a_value }) q)
-
-and binder_knsubst s (id,b) =
- (id, match b with BindType v -> BindType (type_v_knsubst s v) | _ -> b)